4092480000 has 900 divisors, whose sum is σ = 17760947490. Its totient is φ = 903168000.

The previous prime is 4092479983. The next prime is 4092480019. The reversal of 4092480000 is 842904.

It can be written as a sum of positive squares in 5 ways, for example, as 59721984 + 4032758016 = 7728^2 + 63504^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141119986 + ... + 141120014.

Almost surely, 2^4092480000 is an apocalyptic number.

4092480000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880473745).

4092480000 is an abundant number, since it is smaller than the sum of its proper divisors (13668467490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4092480000 is an equidigital number, since it uses as much as digits as its factorization.

4092480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4092480000 is about 63972.4940892568. The cubic root of 4092480000 is about 1599.5415353105.

The spelling of 4092480000 in words is "four billion, ninety-two million, four hundred eighty thousand".